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3 years ago

How are the graphs of the functions y=x+7 and y=x-5 related?

Mathematics

2 answers:

Zanzabum3 years ago

8 0

They have the same slope, but different y-intercepts, making them parallel.

luda_lava [24]3 years ago

4 0

They are both straight lines and parallel to each other. Their slopes are the same.

y = mx + b is one general form of the equation of a straight line,.

if we compare this to y = x + 7 and y = x - 5 we see that they both have the same slope of 1.

y = x + 7 will have a y intercept of (0,7) and y = x - 5 has y intercept of (0,-5)

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Consider that a 1/2 cup serving of 1% cottage cheese is equivalent to 125 grams. If 1 ounce of cottage cheese is equivalent to 2

VikaD [51]

Answer:

4.42 ounces.

Step-by-step explanation:

We have been given that a 1/2 cup serving of 1% cottage cheese is equivalent to 125 grams. 1 ounce of cottage cheese is equivalent to 28.35 grams. We are asked to find the ounces in 1/2 cup serving.

We will use proportions to solve our given problem.

$\frac{\text{Ounce}}{\text{Grams}}=\frac{1}{28.25}$

Upon substituting our given values, we will get:

$\frac{\text{Ounce}}{125}=\frac{1}{28.25}$

$\frac{\text{Ounce}}{125}\times 125=\frac{1}{28.25}\times 125$

$\text{Ounce}=4.42477876$

Upon rounding to nearest hundredth, we will get:

$\text{Ounce}\approx 4.42$

Therefore, 1/2 cup serving contains 4.42 ounces.

7 0

3 years ago

Consider the function f(x)=x^2 . What effect does adding 2 to the input have on the graph of the function? Shifts the graph down

Westkost [7]

Shifts the graph left 2, would look like
(x+2)^2

8 0

3 years ago

Ethan throws a ball into the air from a cliff that is 152.4 m high with an initial velocity of 4 m/s. How long does it take for

Dmitry_Shevchenko [17]

38.1 seconds I believe simply divide 4m/s into 152.4 m and you will have 38.1 seconds

8 0

3 years ago

Read 2 more answers

The sample consisted of 50 night students, with a sample mean GPA of 3.02 and a standard deviation of 0.08, and 25 day students,

bulgar [2K]

Answer: The test statistic is t= -0.90.

Step-by-step explanation:

Since we have given that

n₁ = 50

n₂ = 25

$\bar{x_1}=3.02\\\\\bar{x_2}=3.04\\\\\sigma_1=0.08\\\\\sigma_2=0.06$

So, s would be

$s=\sqrt{\dfrac{n_1\sigma_1^2+n_2\sigma_2^2}{n_1+n_2-2}}\\\\s=\sqrt{\dfrac{50\times 0.08^2+25\times 0.06^2}{50+25-2}}\\\\s=0.075$

So, the value of test statistic would be

$t=\dfrac{\bar{x_1}-\bar{x_2}}{s(\dfrac{1}{n_1}+\dfrac{1}{n_2})}\\t=\dfrac{3.02-3.04}{0.074(\dfrac{1}{50}+\dfrac{1}{25})}\\\\t=\dfrac{-0.04}{0.074(0.02+0.04)}\\\\t=\dfrac{-0.04}{0.044}\\\\t=-0.90$

Hence, the test statistic is t= -0.90.

7 0

3 years ago

Can you make a triangle with angles 45 degrees, 90 degrees, and 35 degrees?

nata0808 [166]

Answer:

Step-by-step explanation:

To make a triangle the angles have to add up to 180 degrees so 90+45+35=170 degrees not 180.

7 0

2 years ago